A variable is a letter that represents a number. An expression that contains at least one variable is called variable expression, also called algebraic expression. A variable expression has one or more terms. A term is a number, a variable, or a product of numbers and variables. For example,
3(x^2)y + 2xy + x - 7 is a variable expression, where you have 4 terms.
When working with variable expression, you often use the substitution principle:
If a = b, then a may be replaced by b in any expression.
The set of numbers that a variable may be represent is called replacement set, or domain, of the variable. To evaluate a variable expression, you replace each variable with one of its values and simplify the numerical expression that results.
Example: Evaluate the expression 2x - 4y for x = 5 and y = -9.
Solution:
2x - 4y
= 2(5) - 4(-9)
= 10 + 36
=46
When you replace a variable with a quantity, it is called a substitution.
You have to substitute a value for the letter variable in the expression. This is what we call evaluating the algebraic expression. An example would be 3x+1=7, when x=2.
Like the 7 in the expression 7x? If so that is called the coefficient.
It is called a variable
Twice a number can be represented as 2x, where x is the unknown number. Adding 27 to this expression gives 2x + 27. Therefore, "twice a number plus 27" can be written as the algebraic expression 2x + 27.
That is called 'solving'.
substitution
I think it is called "replacing" or "substitution".
Substitution
When you replace a variable with a quantity, it is called a substitution.
factor
Assuming you call your number "n", the expression would be "14n". You can replace "n" with whatever variable you want to use.
You can call it a "number." To distinguish it from a variable expression, you can also call it a "constant."
A number variable or answer in an expression is typically referred to as a "value." In mathematics, it can also be called a "numerical value" or "constant" if it doesn't change. When dealing with algebraic expressions, variables often represent unknown values and can take on different numerical values depending on the context.
A coefficient is a number that multiplies a variable.
We call a number that has no variable attached to it, a constant. A number attached to a variable, as in 3x, is called a coefficient.
A set of numbers that can replace the variable in an algebraic expression is called the "domain" of the expression. The domain consists of all possible input values (or variables) for which the expression is defined and yields valid outputs.